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| Presentation | 2020-05-14 14:20 A New Algorithm for Local Isometric Maps in Riemann Spaces Masashi Shinto, Chao Jinhui (Chuo Univ.)  HCS2020-5 HIP2020-5 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A psychophysical space is a space of physical stimuli in which the JND (Just-Noticeable-Difference) discrimination threshold data are available everywhere. Important applications of this Riemann space have been found in color science and expression recognition recently. A map between Riemann spaces called isometry or a distance-preserving map played an essential role in these applications. However, algorithms to compute such a map need solution of nonlinear equations which demands a large number of JND threshold data, can only obtain an isometry in a special form, without uniqueness of the solution and difficult to apply to dimensions higher than three. In this paper, we propose a new algorithm to compute a local isometry between Riemann spaces and psychophysical spaces in particular. We only use JND threshold data more than the dimension of the space without Riemann metric tensor by solving a linear equation system which can achieve uniqueness of the solution and statistical and numerical stability comparing with the known method. We then apply the proposed algorithm to shown examples for comparison and exchange between expression perceptions of different observers. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Riemann geometry / Riemann metric tensor / Facial expression perception / Isometry / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 16, HCS2020-5, pp. 21-24, May 2020. | |
| Paper # | HCS2020-5 | |
| Date of Issue | 2020-05-07 (HCS, HIP) | |
| ISSN | Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | HCS2020-5 HIP2020-5 |
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| Conference Information | |
| Committee | HIP HCS HI-SIGCOASTER |
| Conference Date | 2020-05-14 - 2020-05-15 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Communication Enhancing, Human Communications, and Human Information Processing |
| Paper Information | |
| Registration To | HCS |
| Conference Code | 2020-05-HIP-HCS-SIGCE |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A New Algorithm for Local Isometric Maps in Riemann Spaces |
| Sub Title (in English) | |
| Keyword(1) | Riemann geometry |
| Keyword(2) | Riemann metric tensor |
| Keyword(3) | Facial expression perception |
| Keyword(4) | Isometry |
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| 1st Author's Name | Masashi Shinto |
| 1st Author's Affiliation | Chuo University (Chuo Univ.) |
| 2nd Author's Name | Chao Jinhui |
| 2nd Author's Affiliation | Chuo University (Chuo Univ.) |
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| Speaker | Author-2 |
| Date Time | 2020-05-14 14:20:00 |
| Presentation Time | 20 minutes |
| Registration for | HCS |
| Paper # | HCS2020-5, HIP2020-5 |
| Volume (vol) | vol.120 |
| Number (no) | no.16(HCS), no.17(HIP) |
| Page | pp.21-24 |
| #Pages | 4 |
| Date of Issue | 2020-05-07 (HCS, HIP) |
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